메뉴 건너뛰기




Volumn 50, Issue 1, 2005, Pages 19-28

H∞ Control and estimation with preview - Part I: Matrix ARE solutions in continuous time

Author keywords

Differential games; Fixed lag smoothing; H optimization; Preview control

Indexed keywords

CONTROL SYSTEM SYNTHESIS; GAME THEORY; HAMILTONIANS; MATRIX ALGEBRA; OPTIMIZATION; RICCATI EQUATIONS; STATE ESTIMATION; STATE SPACE METHODS; TIME DOMAIN ANALYSIS; VARIATIONAL TECHNIQUES;

EID: 12944258593     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2004.840460     Document Type: Article
Times cited : (73)

References (32)
  • 1
    • 0028395738 scopus 로고
    • "Preview tracking for discrete-time SISO systems"
    • Mar
    • M. E. Halpern, "Preview tracking for discrete-time SISO systems," IEEE Trans. Autom. Control, vol. 39, no. 3, pp. 589-592, Mar. 1994.
    • (1994) IEEE Trans. Autom. Control , vol.39 , Issue.3 , pp. 589-592
    • Halpern, M.E.1
  • 2
    • 0032074817 scopus 로고    scopus 로고
    • "Online improvement of speed and tracking performance on repetitive paths"
    • Mar
    • F. Boe and B. Hannaford, "Online improvement of speed and tracking performance on repetitive paths," IEEE Trans. Control Syst. Technol. vol. 6, no. 3, pp. 350-358, Mar. 1998.
    • (1998) IEEE Trans. Control Syst. Technol. , vol.6 , Issue.3 , pp. 350-358
    • Boe, F.1    Hannaford, B.2
  • 3
    • 85138444774 scopus 로고
    • "Optimum linear preview control with application to vehicle suspension"
    • E. K. Bender, "Optimum linear preview control with application to vehicle suspension," ASME J. Basic Eng., vol. 90, no. 2, pp. 213-221, 1968.
    • (1968) ASME J. Basic Eng. , vol.90 , Issue.2 , pp. 213-221
    • Bender, E.K.1
  • 5
    • 0029514715 scopus 로고
    • "Design of multirate filter banks by H∞ optimization"
    • Dec
    • T. Chen and B. A. Francis, "Design of multirate filter banks by H∞ optimization," IEEE Trans. Signal Processing, vol. 43, no. 12, pp. 2822-2830, Dec. 1995.
    • (1995) IEEE Trans. Signal Processing , vol.43 , Issue.12 , pp. 2822-2830
    • Chen, T.1    Francis, B.A.2
  • 6
    • 0024984337 scopus 로고
    • "Improved multi-target tracking in clutter by PDA smoothing"
    • Jan
    • A. K. Mahalanabis, B. Zhou, and N. K. Bose, "Improved multi-target tracking in clutter by PDA smoothing," IEEE Trans. Aerospace Electron. Syst., vol. 26, no. 1, pp. 113-121, Jan. 1990.
    • (1990) IEEE Trans. Aerospace Electron. Syst. , vol.26 , Issue.1 , pp. 113-121
    • Mahalanabis, A.K.1    Zhou, B.2    Bose, N.K.3
  • 7
    • 0016513864 scopus 로고
    • "Optimal continuous finite preview problem"
    • Mar
    • M. Tomizuka, "Optimal continuous finite preview problem," IEEE Trans. Autom. Control, vol. AC-20, no. 3, pp. 362-365, Mar. 1975.
    • (1975) IEEE Trans. Autom. Control , vol.AC-20 , Issue.3 , pp. 362-365
    • Tomizuka, M.1
  • 8
    • 0004093046 scopus 로고
    • Optimal Filtering
    • Upper Saddle River, NJ: Prentice-Hall
    • B. D. O. Anderson and J. B. Moore, Optimal Filtering. Upper Saddle River, NJ: Prentice-Hall, 1979.
    • (1979)
    • Anderson, B.D.O.1    Moore, J.B.2
  • 9
    • 0029304714 scopus 로고
    • "Continuous-time tracking problems in an H∞ setting: A game theory approach"
    • May
    • U. Shaked and C. E. de Souza, "Continuous-time tracking problems in an H∞ setting: A game theory approach," IEEE Trans. Autom. Control, vol. 40, no. 5, pp. 841-852, May 1995.
    • (1995) IEEE Trans. Autom. Control , vol.40 , Issue.5 , pp. 841-852
    • Shaked, U.1    Souza, C.E.2
  • 10
    • 1542341746 scopus 로고    scopus 로고
    • "A unified hamiltonian approach for LQ and H∞ preview control algorithms"
    • L. Mianzo and H. Peng, "A unified hamiltonian approach for LQ and H∞ preview control algorithms," ASME J. Dynamic Systems, Measurement, and Control, vol. 121, pp. 365-369, 1999.
    • (1999) ASME J. Dynamic Systems, Measurement, and Control , vol.121 , pp. 365-369
    • Mianzo, L.1    Peng, H.2
  • 11
    • 0003905878 scopus 로고    scopus 로고
    • Open Problems in Mathematical Systems and Control Theory
    • London, U.K.: Springer-Verlag
    • V. D. Blondel, E. D. Sontag, M. Vidyasagar, and J. C. Willems, Eds., Open Problems in Mathematical Systems and Control Theory. London, U.K.: Springer-Verlag, 1999.
    • (1999)
    • Blondel, V.D.1    Sontag, E.D.2    Vidyasagar, M.3    Willems, J.C.4
  • 12
    • 0037400182 scopus 로고    scopus 로고
    • "H∞ performance of preview control systems"
    • A. Kojima and S. Ishijima, "H∞ performance of preview control systems," Automatica, vol. 39, no. 4, pp. 693-701, 2003.
    • (2003) Automatica , vol.39 , Issue.4 , pp. 693-701
    • Kojima, A.1    Ishijima, S.2
  • 13
    • 12944255665 scopus 로고    scopus 로고
    • "H∞ control and estimation with preview Part II: Fixed-size ARE solutions in discrete time"
    • Jan
    • G. Tadmor and L. Mirkin, "H∞ control and estimation with preview Part II: Fixed-size ARE solutions in discrete time," IEEE Trans. Autom. Control, vol. 50, no. 1, pp. 29-40, Jan. 2005.
    • (2005) IEEE Trans. Autom. Control , vol.50 , Issue.1 , pp. 29-40
    • Tadmor, G.1    Mirkin, L.2
  • 14
    • 0043267577 scopus 로고    scopus 로고
    • "On the H∞ fixed-lag smoothing: How to exploit the information preview"
    • L. Mirkin, "On the H∞ fixed-lag smoothing: How to exploit the information preview," Automatica, vol. 39, no. 8, pp. 1495-1504, 2003.
    • (2003) Automatica , vol.39 , Issue.8 , pp. 1495-1504
    • Mirkin, L.1
  • 15
    • 0033741703 scopus 로고    scopus 로고
    • "On H∞ control for dead-time systems"
    • Feb
    • G. Meinsma and H. Zwart, "On H∞ control for dead-time systems," IEEE Trans. Autom. Control, vol. 45, no. 2, pp. 272-285, Feb. 2000.
    • (2000) IEEE Trans. Autom. Control , vol.45 , Issue.2 , pp. 272-285
    • Meinsma, G.1    Zwart, H.2
  • 16
    • 0038631890 scopus 로고    scopus 로고
    • "Yet another H∞ discretization"
    • May
    • L. Mirkin and G. Tadmor, "Yet another H∞ discretization," IEEE Trans. Autom. Control, vol. 48, no. 5, pp. 891-894, May 2003.
    • (2003) IEEE Trans. Autom. Control , vol.48 , Issue.5 , pp. 891-894
    • Mirkin, L.1    Tadmor, G.2
  • 17
    • 0029254132 scopus 로고
    • "Robust controller design for delay systems in the gap-metric"
    • Feb
    • A. Kojima and S. Ishijima, "Robust controller design for delay systems in the gap-metric," IEEE Trans. Autom. Control, vol. 40, no. 2, pp. 370-374, Feb. 1995.
    • (1995) IEEE Trans. Autom. Control , vol.40 , Issue.2 , pp. 370-374
    • Kojima, A.1    Ishijima, S.2
  • 18
    • 0031237071 scopus 로고    scopus 로고
    • "Robust control in the gap: A state space solution in the presence of a single input delay"
    • Sep
    • G. Tadmor, "Robust control in the gap: A state space solution in the presence of a single input delay," IEEE Trans. Autom. Control, vol. 42, no. 9, pp. 1330-1335, Sep. 1997.
    • (1997) IEEE Trans. Autom. Control , vol.42 , Issue.9 , pp. 1330-1335
    • Tadmor, G.1
  • 19
    • 0036242911 scopus 로고    scopus 로고
    • "H∞ control of system with I/O delay: A review of some problem-oriented methods"
    • L. Mirkin and G. Tadmor, "H∞ control of system with I/O delay: A review of some problem-oriented methods," IMA J. Math. Control Inform., vol. 19, pp. 185-199, 2002.
    • (2002) IMA J. Math. Control Inform. , vol.19 , pp. 185-199
    • Mirkin, L.1    Tadmor, G.2
  • 20
    • 0017988329 scopus 로고
    • "F-reduction of the operator riccati equation for hereditary differential equations"
    • M. C. Delfour, E. B. Lee, and A. Manitius, "F-reduction of the operator riccati equation for hereditary differential equations," Automatica vol. 14, pp. 385-395, 1978.
    • (1978) Automatica , vol.14 , pp. 385-395
    • Delfour, M.C.1    Lee, E.B.2    Manitius, A.3
  • 21
    • 0011585546 scopus 로고
    • "The structural operator F and its role in the theory of retarded systems"
    • M. C. Delfour and A. Manitius, "The structural operator F and its role in the theory of retarded systems," J. Math. Anal. Appl., vol. 73, pp. 466-490, 1980.
    • (1980) J. Math. Anal. Appl. , vol.73 , pp. 466-490
    • Delfour, M.C.1    Manitius, A.2
  • 22
    • 0003778985 scopus 로고
    • Control and Observation of Neutral Systems
    • New York: Pitman
    • D. Salamon, Control and Observation of Neutral Systems. New York: Pitman, 1984.
    • (1984)
    • Salamon, D.1
  • 23
    • 0003642344 scopus 로고
    • The H∞ Control Problem: A State Space Approach
    • London, U.K.: Prentice-Hall
    • A. A. Stoorvogel, The H∞ Control Problem: A State Space Approach. London, U.K.: Prentice-Hall, 1992.
    • (1992)
    • Stoorvogel, A.A.1
  • 24
    • 0742286689 scopus 로고    scopus 로고
    • "When does the H∞ fixed-lag smoothing performance saturate for a finite smoothing lag?"
    • Jan
    • L. Mirkin and G. Meinsma, "When does the H∞ fixed-lag smoothing performance saturate for a finite smoothing lag?," IEEE Trans. Autom. Control, vol. 49, no. 1, pp. 131-134, Jan. 2004.
    • (2004) IEEE Trans. Autom. Control , vol.49 , Issue.1 , pp. 131-134
    • Mirkin, L.1    Meinsma, G.2
  • 25
    • 0025023349 scopus 로고
    • "Worst case design in the time domain: The maximum principle and the standard H∞ problem"
    • G. Tadmor, "Worst case design in the time domain: The maximum principle and the standard H∞ problem," Math. Control, Signals Syst., vol. 3. pp. 301-324. 1990.
    • (1990) Math. Control, Signals Syst. , vol.3 , pp. 301-324
    • Tadmor, G.1
  • 26
    • 0003404761 scopus 로고
    • H∞ -Optimal Control and Related Minimax Design Problems: A Dynamic Game Approach
    • 2nd ed. Boston, MA: Birkhäuser
    • T. Başar and P. Bernhard, H∞ -Optimal Control and Related Minimax Design Problems: A Dynamic Game Approach, 2nd ed. Boston, MA: Birkhäuser, 1995.
    • (1995)
    • Başar, T.1    Bernhard, P.2
  • 27
    • 0026222065 scopus 로고
    • "A game theoretic approach to a finite-time disturbance attenuation problem"
    • Sep
    • I. Rhee and J. L. Speyer, "A game theoretic approach to a finite-time disturbance attenuation problem," IEEE Trans. Autom. Control, vol. 36, no. 9. pp. 1021-1032. Sep. 1991.
    • (1991) IEEE Trans. Autom. Control , vol.36 , Issue.9 , pp. 1021-1032
    • Rhee, I.1    Speyer, J.L.2
  • 28
    • 0025479824 scopus 로고
    • "Minimum H∞-norm regulation of linear discrete-time systems and its relation to linear quadratic discrete games"
    • Sep
    • I. Yaesh and U. Shaked, "Minimum H∞-norm regulation of linear discrete-time systems and its relation to linear quadratic discrete games," IEEE Trans. Autom. Control. vol. 35, no. 9, pp. 1061-1064. Sep. 1990.
    • (1990) IEEE Trans. Autom. Control , vol.35 , Issue.9 , pp. 1061-1064
    • Yaesh, I.1    Shaked, U.2
  • 29
    • 0027625605 scopus 로고
    • "The standard H∞ problem and the maximum principle: The general linear case"
    • G. Tadmor, "The standard H∞ problem and the maximum principle: The general linear case," SIAM J. Control Optim., vol. 31, pp. 831-846, 1993.
    • (1993) SIAM J. Control Optim. , vol.31 , pp. 831-846
    • Tadmor, G.1
  • 30
    • 0003511170 scopus 로고
    • An Introduction to Infinite-Dimensional Linear Systems Theory
    • New York: Springer-Verlag
    • R. F. Curtain and H. Zwart, An Introduction to Infinite-Dimensional Linear Systems Theory. New York: Springer-Verlag, 1995.
    • (1995)
    • Curtain, R.F.1    Zwart, H.2
  • 31
    • 0003762679 scopus 로고
    • H∞ Control for Distributed Parameter Systems: A State Space Approach
    • Boston, MA: Birkhäuser
    • B. van Keulen, H∞ Control for Distributed Parameter Systems: A State Space Approach. Boston, MA: Birkhäuser, 1993.
    • (1993)
    • Keulen, B.1
  • 32
    • 0025565457 scopus 로고
    • "H∞ control for distributed parameters systems: A survey"
    • R. F. Curtain, "H∞ control for distributed parameters systems: A survey," in Proc. 29th IEEE Conf. Decision and Control, 1990, pp. 22-26.
    • (1990) Proc. 29th IEEE Conf. Decision and Control , pp. 22-26
    • Curtain, R.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.